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Finding the Third Proportional to 432,200 and 654,268

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Solution

The third proportional to 432,200 and 654,268 is: 990,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,200 : 654,268 = 654,268 : x
  2. Step 2: Convert to fraction form
    432,200/654,268 = 654,268/x
  3. Step 3: Cross multiply
    432,200x = 654,268 × 654,268
  4. Step 4: Simplify right side
    432,200x = 428,066,615,824
  5. Step 5: Solve for x
    x = 428,066,615,824/432,200
  6. Step 6: Final answer
    x = 990,436.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.